Question

find the zeroes of x²-2x-15 and verify the relationship b/w zeroes and co - efficients​

Answer 1

Answer:

x²- 2x - 15 = 0

(x - 5)(x + 3) = 0

∴ Roots of equation are α = 5

                                         β = -3

Sum of zeros = $\frac{-b}{a}$

                       = 2

α + β = 5 - 3 = 2

                                                                                      HENCE VERIFIED.

Product of zeros =  $\frac{c}{a}$

                             = -15

αβ = 5 × (-3) = -15

                                                                                 HENCE VERIFIED.